Here, \(m_i\)  and \(m_j\)  are the nucleon and meson masses, while \(f_\pi =0.130\,\text{GeV}\)  is the pion decay constant (cf. PDG [1]}). The amplitudes \(A_L^{ijk}\)  and \(A_R^{ijk}\)  depend on the effective operators \(\mathbf {\widetilde{C}}\)  at the nucleon mass scale. They are listed in Table 1 of [2]}, where they defined the nucleon mass \(m_N\)  as the average of the proton mass \(m_p\)  and the neutron mass \(m_n\) , while the baryon mass \(m_{B^{\prime }}\)  was defined as the average of \(m_\Gamma \)  and \(m_\Sigma \) . Moreover, they used the constants from hyperon decay \(F\approx 0.463\) , \(D\approx 0.804\)  (cf. [3]}, [4]}), as well as the proton decay matrix element parameters \(\alpha \approx 0.0090\,\text{GeV}^3\) , \(\beta \approx 0.0096\,\text{GeV}^3\)  (cf. [3]}, [6]}).
